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5130745440 = 253527139443
BaseRepresentation
bin1001100011101000…
…01111011001100000
3111020120101212120220
410301310033121200
541001432323230
62205041403040
7241100421342
oct46164173140
914216355526
105130745440
1121a3198a97
12bb2339480
13639c78762
143695b7292
15200680d10
hex131d0f660

5130745440 has 96 divisors (see below), whose sum is σ = 16221897216. Its totient is φ = 1363115520.

The previous prime is 5130745409. The next prime is 5130745463. The reversal of 5130745440 is 445470315.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110359 + ... + 149801.

It is an arithmetic number, because the mean of its divisors is an integer number (168978096).

Almost surely, 25130745440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5130745440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8110948608).

5130745440 is an abundant number, since it is smaller than the sum of its proper divisors (11091151776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5130745440 is a wasteful number, since it uses less digits than its factorization.

5130745440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39732 (or 39724 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The square root of 5130745440 is about 71629.2219698078. The cubic root of 5130745440 is about 1724.7526568273.

The spelling of 5130745440 in words is "five billion, one hundred thirty million, seven hundred forty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 271 480 542 813 1084 1355 1626 2168 2710 3252 4065 4336 5420 6504 8130 8672 10840 13008 16260 21680 26016 32520 39443 43360 65040 78886 118329 130080 157772 197215 236658 315544 394430 473316 591645 631088 788860 946632 1183290 1262176 1577720 1893264 2366580 3155440 3786528 4733160 6310880 9466320 10689053 18932640 21378106 32067159 42756212 53445265 64134318 85512424 106890530 128268636 160335795 171024848 213781060 256537272 320671590 342049696 427562120 513074544 641343180 855124240 1026149088 1282686360 1710248480 2565372720 5130745440